Posted by: Adib Ben Jebara

## About physics and consistency of mathematical theo - 07/19/08 08:04 AM

About physics and consistency of mathematical theories

Can physics make us know that mathematical theories are consistent ? Can

we consider as consistent the mathematical theories which are applied to

physics ?

It seems to me that consistency can be checked with the existence of a

thing satisfying what is assumed.

For instance in set theory, we look for a model to prove the consistency

of axioms.

The physical world satisfies laws and is not unlike a model.

Mr Andreas Blass wrote me that a contradiction could be found far down

the way and a consistency not confirmed by a proof is not mathematical

knowledge.

I think it is unlikely to meet a contradiction far down the way so for

practical purposes the applied theory can be considered consistent.

The fear of a contradiction expressed by some mathematicians is not

reasonable.

Most mathematical theories should be applied to physics in the far future.

Adib Ben Jebara.

Can physics make us know that mathematical theories are consistent ? Can

we consider as consistent the mathematical theories which are applied to

physics ?

It seems to me that consistency can be checked with the existence of a

thing satisfying what is assumed.

For instance in set theory, we look for a model to prove the consistency

of axioms.

The physical world satisfies laws and is not unlike a model.

Mr Andreas Blass wrote me that a contradiction could be found far down

the way and a consistency not confirmed by a proof is not mathematical

knowledge.

I think it is unlikely to meet a contradiction far down the way so for

practical purposes the applied theory can be considered consistent.

The fear of a contradiction expressed by some mathematicians is not

reasonable.

Most mathematical theories should be applied to physics in the far future.

Adib Ben Jebara.